Theoretical and Mathematical Physics

Advances in Geometry and Lie Algebras from Supergravity

Authors: Frè, Pietro

  • A graduate level text for students and young researchers with interests in the applications of differential geometry to mathematical physics
  • A useful reference that connects the topics of differential geometry and Lie group algebra to high energy physics research problems
  • Enriched with historical introductions to all chapters
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eBook $109.00
price for USA in USD (gross)
  • ISBN 978-3-319-74491-9
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $149.99
price for USA in USD
  • ISBN 978-3-319-74490-2
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
About this book

This book aims to provide an overview of several topics in advanced differential geometry and Lie group theory, all of them stemming from mathematical problems in supersymmetric physical theories. It presents a mathematical illustration of the main development in geometry and symmetry theory that occurred under the fertilizing influence of supersymmetry/supergravity.

The contents are mainly of mathematical nature, but each topic is introduced by historical information and enriched with motivations from high energy physics, which help the reader in getting a deeper comprehension of the subject. 

About the authors

Pietro Frè is Professor of Theoretical Physics at the University of Torino, Italy and is currently serving as Scientific Counsellor of the Italian Embassy in Moscow. He has taught General Relativity for 15 years. His scientific passion lies in supergravity and all allied topics, since the inception of the field, in 1976. He was professor at SISSA, worked in the USA and at CERN. He has taught General Relativity for 15 years. He has previously published four scientific monographs. He is also the author of a popular science book on cosmology (“Il fascino oscuro dell’inflazione”, Springer 2009), and two novels, in Italian.

Table of contents (9 chapters)

  • Finite Groups and Lie Algebras: The ADE Classification and Beyond

    Fré, Pietro Giuseppe

    Pages 1-68

  • Isometries and the Geometry of Coset Manifolds

    Fré, Pietro Giuseppe

    Pages 69-98

  • Complex and Quaternionic Geometry

    Fré, Pietro Giuseppe

    Pages 99-171

  • Special Geometries

    Fré, Pietro Giuseppe

    Pages 173-201

  • Solvable Algebras and the Tits Satake Projection

    Fré, Pietro Giuseppe

    Pages 203-263

Buy this book

eBook $109.00
price for USA in USD (gross)
  • ISBN 978-3-319-74491-9
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $149.99
price for USA in USD
  • ISBN 978-3-319-74490-2
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Advances in Geometry and Lie Algebras from Supergravity
Authors
Series Title
Theoretical and Mathematical Physics
Copyright
2018
Publisher
Springer International Publishing
Copyright Holder
Springer International Publishing AG
eBook ISBN
978-3-319-74491-9
DOI
10.1007/978-3-319-74491-9
Hardcover ISBN
978-3-319-74490-2
Series ISSN
1864-5879
Edition Number
1
Number of Pages
XX, 556
Number of Illustrations and Tables
32 b/w illustrations, 32 illustrations in colour
Topics